Math Problem Statement
A tortoise and a hare are competing in a 1200-meter race. The arrogant hare decides to let the tortoise have a 570-meter head start. When the start gun is fired the hare begins running at a constant speed of 8 meters per second and the tortoise begins crawling at a constant speed of 6 meters per second.
Let t represent the number of seconds that have elapsed since the start gun was fired.
Write an expression in terms of t that represents the hare's distance from the starting line (in meters).
8t
8 t syntax ok
Write an expression in terms of t that represents the tortoise's distance from the starting line (in meters).
6t
6 t syntax ok
Write an expression in terms of t that represents the number of meters the tortoise is ahead of the hare.
Who finishes the race first?
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Distance-Time Relationship
Formulas
Hare's distance: 8t
Tortoise's distance: 570 + 6t
Tortoise's lead: 570 - 2t
Theorems
Distance = Speed × Time
Suitable Grade Level
Grades 7-9
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